259 citations · 3.2k across the 85 of their papers we have counts for
84 papers
Rational extensions of the Dunkl oscillator in the plane and exceptional orthogonal polynomials
C. Quesne
It is shown that rational extensions of the isotropic Dunkl oscillator in the plane can be obtained by adding some terms either to the radial equation or to the angular one obtaine…
Rationally-extended Dunkl oscillator on the line
C. Quesne
It is shown that the extensions of exactly-solvable quantum mechanical problems connected with the replacement of ordinary derivatives by Dunkl ones and with that of classical orth…
Semi-infinite quantum wells in a position-dependent mass background
C. Quesne
By using a point canonical transformation starting from the constant-mass Schrödinger equation for the Morse potential, it is shown that a semi-infinite quantum well model with a n…
Quasi-exactly solvable extensions of the Kepler-Coulomb potential on the sphere
C. Quesne
We consider a family of extensions of the Kepler-Coulomb potential on a -dimensional sphere and analyze it in a deformed supersymmetric framework, wherein the starting potential…
So (2, 1) algebra, local Fermi velocity, and position-dependent mass Dirac equation
Bijan Bagchi, Rahul Ghosh, Christiane Quesne
We investigate the (1+1)-dimensional position-dependent mass Dirac equation within the confines of so(2,1) potential algebra by utilizing the character of a spatial varying Fermi v…
Dynamical symmetry algebra of two superintegrable two-dimensional systems
Ian Marquette, Christiane Quesne
A complete classification of 2D superintegrable systems on two-dimensional conformally flat spaces has been performed over the years and 58 models, divided into 12 equivalence clas…